A simple proof of Bailey's very-well-poised \({}_{6}\psi_{6}\) summation (Q2781259)
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scientific article; zbMATH DE number 1721006
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A simple proof of Bailey's very-well-poised \({}_{6}\psi_{6}\) summation |
scientific article; zbMATH DE number 1721006 |
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19 March 2002
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very-well-poised series
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A simple proof of Bailey's very-well-poised \({}_{6}\psi_{6}\) summation (English)
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The author employs the methods of \textit{M. Jackson}'s proof of the \(_1\psi_1\) identity [J. Lond. Math. Soc. 25, 189-196 (1950; Zbl 0036.32601] to derive Dougall's \(_2H_2\) summation from Gauss's \(_2F_1\) summation and Bailey's very-well-poised \(_6\psi_6\) summation from Rogers nonterminating \(_6\phi_5\) summation.
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